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997071620 = 2252329411823
BaseRepresentation
bin111011011011100…
…001101100000100
32120111011111010112
4323123201230010
54020222242440
6242534412152
733464653226
oct7333415404
92514144115
10997071620
11471903736
12239b01058
1312b75330c
14965c8416
155c803965
hex3b6e1b04

997071620 has 96 divisors (see below), whose sum is σ = 2316625920. Its totient is φ = 359152640.

The previous prime is 997071617. The next prime is 997071629. The reversal of 997071620 is 26170799.

It is a happy number.

997071620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (997071629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546029 + ... + 547851.

It is an arithmetic number, because the mean of its divisors is an integer number (24131520).

Almost surely, 2997071620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997071620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158312960).

997071620 is an abundant number, since it is smaller than the sum of its proper divisors (1319554300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

997071620 is a wasteful number, since it uses less digits than its factorization.

997071620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 41.

The square root of 997071620 is about 31576.4409014062. The cubic root of 997071620 is about 999.0229189569.

The spelling of 997071620 in words is "nine hundred ninety-seven million, seventy-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 41 46 58 82 92 115 116 145 164 205 230 290 410 460 580 667 820 943 1189 1334 1823 1886 2378 2668 3335 3646 3772 4715 4756 5945 6670 7292 9115 9430 11890 13340 18230 18860 23780 27347 36460 41929 52867 54694 74743 83858 105734 109388 136735 149486 167716 209645 211468 264335 273470 298972 373715 419290 528670 546940 747430 838580 1057340 1215941 1494860 1719089 2167547 2431882 3438178 4335094 4863764 6079705 6876356 8595445 8670188 10837735 12159410 17190890 21675470 24318820 34381780 43350940 49853581 99707162 199414324 249267905 498535810 997071620